Suppose there are two goods and two consumers, Andy (A) and Beth (B). Andy's utility function is denoted by WA(CA, XA) = ava where a is the amount Andy consumes of good 1 and a4 is the amount Andy consumes of good 2. His endowment consists of 20 units of good 1 and 40 units of good 2. Beth's utility function is denoted by UB(XB, X3) = 3 In(xB) +. In(x3 ) where a B is the amount Beth consumes of good 1 and a'? is the amount Beth consumes of good 2. Her endowment consists of 30 units of good 1 and 60 units of good 2. (a) Compute the marginal rate of substitution for both Andy and Beth. (b) Find the set of Pareto efficient allocations